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Finding the Fourth Proportional to 1,558.17, 2,337.30 and 692.28

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Solution

The fourth proportional to 1,558.17, 2,337.30 and 692.28 is: 1,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.17 : 2,337.30 = 692.28 : x
  2. Step 2: Convert to fraction form
    1,558.17/2,337.30 = 692.28/x
  3. Step 3: Cross multiply
    1,558.17x = 2,337.30 × 692.28
  4. Step 4: Simplify right side
    1,558.17x = 1,618,066.04
  5. Step 5: Solve for x
    x = 1,618,066.04/1,558.17
  6. Step 6: Final answer
    x = 1,038.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.